Construction - Short Problems
Folded A4
What shapes can be made by folding an A4 sheet of paper only once?
Defined Distances
Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?
Contact Circles
These four touching circles have another circle hiding amongst them...
Triangular Wheel
An equilateral triangle is rolled along a line. What is the length of the path traced out by one of its vertices?
3-sided
How many triangles can Jack draw with two sides of lengths $6$cm and $8$cm and an area of $7$cm$^2$?
Either Side
A disc with a pencil inside it is rolled around the outside and inside of a wire equilateral triangle. What shape is drawn by the pencil?
Pink and White
The white square slides once around the pink square. Through what distance does the point P on the white square move?
Snail's Pace
A snail is at the corner of a cube. What proportion of the cube's surface can the snail reach within an hour?
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Seven Squares - Group-worthy Task
Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?
